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166 lines
6.3 KiB
HTML
166 lines
6.3 KiB
HTML
<!doctype html>
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<html lang="en"><!-- #BeginTemplate "/Templates/Main.dwt" --><!-- DW6 -->
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<!-- Mirrored from www.mathsisfun.com/bank_problem_solution.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 01:06:17 GMT -->
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<head>
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<!-- #BeginEditable "doctitle" -->
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<title>Problem At The Bank Puzzle - Solution</title>
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<script language="JavaScript" type="text/javascript">reSpell=[["totaling","totalling"]];</script>
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<div id="content" role="main"><!-- #BeginEditable "Body" -->
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<center>
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<h1>Problem at the Bank - Solution</h1>
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</center>
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<p style="float:left; margin: 0 10px 5px 0;"><img src="money/images/bank1.jpg" width="150" height="108" alt="bank" /></p>
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<p>A bank customer had $100 in his account. </p>
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<p>He then made 6 withdrawals, totaling $100. </p>
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<p>He kept a record of these withdrawals, and the balance left in the account, as follows: </p>
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<center>
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<table border="0" cols="2" width="300" >
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<tr>
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<th align="center">Withdrawals</th>
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<th align="center">Balance left</th>
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</tr>
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<tr>
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<td align="center">$50</td>
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<td align="center">$50</td>
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</tr>
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<tr>
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<td align="center">$25</td>
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<td align="center">$25</td>
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</tr>
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<tr>
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<td align="center">$10</td>
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<td align="center">$15</td>
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</tr>
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<tr>
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<td align="center">$8</td>
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<td align="center">$7</td>
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</tr>
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<tr>
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<td align="center">$5</td>
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<td align="center">$2</td>
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</tr>
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<tr>
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<td align="center">$2</td>
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<td align="center">$0</td>
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</tr>
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<tr>
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<td align="center" style="border-top: 1px solid black;">$100</td>
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<td align="center" style="border-top: 1px solid black;">$99</td>
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</tr>
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</table>
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</center>
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<h2>So, why are the Totals not exactly right?</h2>
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<p>There is <b>no reason</b><i> </i>whatever why the customer's original deposit
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of $100 should equal the total of the balances left after each withdrawal.
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</p>
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<p>The total of withdrawals in the left-hand column may equal $100,
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but it is purely <b>coincidence</b> that the total of the right-hand
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column is close to $100. </p>
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<p>Let us show another example, but starting with $200 in the
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bank:</p>
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<center>
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<table border="0" cols="2" width="300" >
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<tr>
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<th align="center">Withdrawals</th>
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<th align="center">Balance left</th>
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</tr>
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<tr>
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<td align="center">$50</td>
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<td align="center">$150</td>
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</tr>
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<tr>
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<td align="center">$25</td>
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<td align="center">$125</td>
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</tr>
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<tr>
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<td align="center">$10</td>
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<td align="center">$115</td>
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</tr>
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<tr>
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<td align="center">$8</td>
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<td align="center">$107</td>
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</tr>
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<tr>
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<td align="center">$5</td>
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<td align="center">$102</td>
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</tr>
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<tr>
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<td align="center">$2</td>
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<td align="center">$100</td>
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</tr>
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<tr>
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<td align="center" style="border-top: 1px solid black;">$100</td>
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<td align="center" style="border-top: 1px solid black;">$699</td>
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</tr>
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</table>
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</center>
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<p> </p>
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<p>Moral of this story? <b>Don't Total Balances</b>.</p>
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<p> </p>
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<p><i>Puzzle supplied by Richard Rider</i>
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</p><div class="related">
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<a href="puzzle.html">Puzzles</a>
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<div id="copyrt">
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Copyright © 2017 MathsIsFun.com
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